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Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
author David Bateman <dbateman@free.fr>
date Sat, 11 Apr 2009 16:26:01 +0200
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children 09da0bd91412
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9110
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1 ## Copyright (C) 2009 Martin Helm
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2 ##
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3 ## This program is free software; you can redistribute it and/or modify
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4 ## it under the terms of the GNU General Public License as published by
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5 ## the Free Software Foundation; either version 3 of the License, or
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6 ## (at your option) any later version.
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7 ##
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8 ## This program is distributed in the hope that it will be useful,
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9 ## but WITHOUT ANY WARRANTY; without even the implied warranty of
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10 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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11 ## GNU General Public License for more details.
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12 ##
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13 ## You should have received a copy of the GNU General Public License
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14 ## along with this program; if not, see http://www.gnu.org/licenses/gpl.html.
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15
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16 ## -*- texinfo -*-
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17 ## @deftypefn {Function File} {[@var{fv}] =} isosurface (@var{val}, @var{iso})
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18 ## @deftypefnx {Function File} {[@var{fv}] =} isosurface (@var{x}, @var{y}, @var{z}, @var{val}, @var{iso})
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19 ## @deftypefnx {Function File} {[@var{fv}] =} isosurface (@dots{}, "noshare", "verbose")
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20 ## @deftypefnx {Function File} {[@var{fvc}] =} isosurface (@dots{}, @var{col})
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21 ## @deftypefnx {Function File} {[@var{f}, @var{v}] =} isosurface (@var{x}, @var{y}, @var{z}, @var{val}, @var{iso})
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22 ## @deftypefnx {Function File} {[@var{f}, @var{v}, @var{c}] =} isosurface (@var{x}, @var{y}, @var{z}, @var{val}, @var{iso}, @var{col})
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23 ## @deftypefnx {Function File} {} isosurface (@var{x}, @var{y}, @var{z}, @var{val}, @var{iso}, @var{col}, @var{opt})
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24 ##
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25 ## If called with one output argument and the first input argument
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26 ## @var{val} is a three--dimensional array that contains the data of an
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27 ## isosurface geometry and the second input argument @var{iso} keeps the
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28 ## isovalue as a scalar value then return a structure array @var{fv}
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29 ## that contains the fields @var{Faces} and @var{Vertices} at computed
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30 ## points @command{[x, y, z] = meshgrid (1:l, 1:m, 1:n)}. The output
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31 ## argument @var{fv} can directly be taken as an input argument for the
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32 ## @command{patch} function.
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33 ##
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34 ## If called with further input arguments @var{x}, @var{y} and @var{z}
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35 ## which are three--dimensional arrays with the same size than @var{val}
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36 ## then the volume data is taken at those given points.
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37 ##
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38 ## The string input argument "noshare" is only for compatibility and
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39 ## has no effect. If given the string input argument
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40 ## "verbose" then print messages to the command line interface about the
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41 ## current progress.
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42 ##
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43 ## If called with the input argument @var{col} which is a
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44 ## three-dimensional array of the same size than @var{val} then take
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45 ## those values for the interpolation of coloring the isosurface
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46 ## geometry. Add the field @var{FaceVertexCData} to the structure
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47 ## array @var{fv}.
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48 ##
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49 ## If called with two or three output arguments then return the
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50 ## information about the faces @var{f}, vertices @var{v} and color data
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51 ## @var{c} as seperate arrays instead of a single structure array.
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52 ##
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53 ## If called with no output argument then directly process the
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54 ## isosurface geometry with the @command{patch} command.
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55 ##
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56 ## For example
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57 ##
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58 ## @example
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59 ## [x, y, z] = meshgrid (1:5, 1:5, 1:5);
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60 ## val = rand (5, 5, 5);
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61 ## isosurface (x, y, z, val, .5);
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62 ## @end example
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63 ##
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64 ## will directly draw a random isosurface geometry in a graphics window.
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65 ## Another example for an isosurface geometry with different additional
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66 ## coloring
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67 ##
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68 ## @example
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69 ## N = 15; ## Increase number of vertices in each direction
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70 ## iso = .4; ## Change isovalue to .1 to display a sphere
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71 ## lin = linspace (0, 2, N);
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72 ## [x, y, z] = meshgrid (lin, lin, lin);
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73 ## c = abs ((x-.5).^2 + (y-.5).^2 + (z-.5).^2);
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74 ## figure (); ## Open another figure window
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75 ##
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76 ## subplot (2, 2, 1); view (-38, 20);
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77 ## [f, v] = isosurface (x, y, z, c, iso);
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78 ## p = patch ("Faces", f, "Vertices", v, "EdgeColor", "none");
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79 ## set (gca, "DataAspectRatioMode","manual", "DataAspectRatio", [1 1 1]);
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80 ## # set (p, "FaceColor", "green", "FaceLighting", "phong");
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81 ## # light ("Position", [1 1 5]); ## Available with the JHandles package
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82 ##
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83 ## subplot (2, 2, 2); view (-38, 20);
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84 ## p = patch ("Faces", f, "Vertices", v, "EdgeColor", "blue");
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85 ## set (gca, "DataAspectRatioMode","manual", "DataAspectRatio", [1 1 1]);
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86 ## # set (p, "FaceColor", "none", "FaceLighting", "phong");
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87 ## # light ("Position", [1 1 5]);
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88 ##
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89 ## subplot (2, 2, 3); view (-38, 20);
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90 ## [f, v, c] = isosurface (x, y, z, c, iso, y);
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91 ## p = patch ("Faces", f, "Vertices", v, "FaceVertexCData", c, \
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92 ## "FaceColor", "interp", "EdgeColor", "none");
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93 ## set (gca, "DataAspectRatioMode","manual", "DataAspectRatio", [1 1 1]);
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94 ## # set (p, "FaceLighting", "phong");
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95 ## # light ("Position", [1 1 5]);
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96 ##
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parents:
diff changeset
97 ## subplot (2, 2, 4); view (-38, 20);
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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parents:
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98 ## p = patch ("Faces", f, "Vertices", v, "FaceVertexCData", c, \
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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parents:
diff changeset
99 ## "FaceColor", "interp", "EdgeColor", "blue");
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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parents:
diff changeset
100 ## set (gca, "DataAspectRatioMode","manual", "DataAspectRatio", [1 1 1]);
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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parents:
diff changeset
101 ## # set (p, "FaceLighting", "phong");
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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102 ## # light ("Position", [1 1 5]);
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diff changeset
103 ## @end example
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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parents:
diff changeset
104 ##
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parents:
diff changeset
105 ## @seealso{isocolors, isonormals, isocaps}
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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parents:
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106 ##
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parents:
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107 ## @end deftypefn
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108
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parents:
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109 ## Author: Martin Helm <martin@mhelm.de>
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110
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111 function varargout = isosurface(varargin)
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112
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113 if (nargin < 2 || nargin > 8 || nargout > 3)
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114 print_usage ();
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115 endif
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116
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117 calc_colors = false;
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118 f = v = c = [];
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119 verbose = false;
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120 noshare = false;
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121 if (nargin >= 5)
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122 x = varargin{1};
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123 y = varargin{2};
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124 z = varargin{3};
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125 val = varargin{4};
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126 iso = varargin{5};
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127 if (nargin >= 6 && ismatrix (varargin{6}))
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128 colors = varargin{6};
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129 calc_colors = true;
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130 endif
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131 else
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132 val = varargin{1};
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133 [n1, n2, n3] = size (val);
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134 [x, y, z] = meshgrid (1:n1, 1:n2, 1:n3);
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135 iso = varargin{2};
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136 if (nargin >= 3 && ismatrix (varargin{3}))
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137 colors = varargin{3};
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138 calc_colors = true;
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139 endif
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140 endif
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141 if (calc_colors)
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142 if (nargout == 2)
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143 warning ( "Colors will be calculated, but you did not specify an output argument for it!" );
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144 endif
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145 [fvc.faces, fvc.vertices, fvc.facevertexcdata] = __marching_cube__ (x, y, z, val, iso, colors);
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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146 else
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147 [fvc.faces, fvc.vertices] = __marching_cube__ (x, y, z, val, iso);
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148 endif
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149
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150 if (isempty (fvc.vertices) || isempty (fvc.faces))
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151 warning ( "The resulting triangulation is empty" );
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152 endif
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153
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154 switch (nargout)
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155 case 0
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156 ## plot the calculated surface
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157 newplot ();
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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158 if (calc_colors)
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parents:
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159 pa = patch ("Faces", fvc.faces, "Vertices", fvc.vertices,
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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160 "FaceVertexCData", fvc.facevertexcdata,
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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parents:
diff changeset
161 "FaceColor", "flat", "EdgeColor", "none");
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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162 else
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163 pa = patch ("Faces", fvc.faces, "Vertices", fvc.vertices,
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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164 "FaceColor", "g", "EdgeColor", "k");
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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165 endif
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166 if (! ishold ())
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diff changeset
167 set (gca(), "view", [-37.5, 30],
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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parents:
diff changeset
168 "xgrid", "on", "ygrid", "on", "zgrid", "on");
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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169 endif
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170 case 1
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diff changeset
171 varargout = {fvc};
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172 case 2
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diff changeset
173 varargout = {fvc.faces, fvc.vertices};
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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174 case 3
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diff changeset
175 varargout = {fvc.faces, fvc.vertices, fvc.facevertexcdata};
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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diff changeset
176 otherwise
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diff changeset
177 print_usage ();
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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diff changeset
178 endswitch
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179
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180 endfunction
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181
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182
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183 %!shared x, y, z, val
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184 %! [x, y, z] = meshgrid (0:1, 0:1, 0:1); ## Points for single
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
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185 %! val = [0, 0; 0, 0]; ## cube and a 3--dim
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186 %! val(:,:,2) = [0, 0; 1, 0]; ## array of values
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187 %!test
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188 %! fv = isosurface (x, y, z, val, 0.3);
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189 %! assert (isfield (fv, "vertices"), true);
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190 %! assert (isfield (fv, "faces"), true);
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191 %! assert (size (fv.vertices), [3 3]);
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192 %! assert (size (fv.faces), [1 3]);
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193 %!test
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194 %! fvc = isosurface (x, y, z, val, .3, y);
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195 %! assert (isfield (fvc, "vertices"), true);
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196 %! assert (isfield (fvc, "faces"), true);
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197 %! assert (isfield (fvc, "facevertexcdata"), true);
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198 %! assert (size (fvc.vertices), [3 3]);
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199 %! assert (size (fvc.faces), [1 3]);
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parents:
diff changeset
200 %! assert (size (fvc.facevertexcdata), [3 1]);
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
201 %!test
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
202 %! [f, v] = isosurface (x, y, z, val, .3);
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
203 %! assert (size (f), [1 3]);
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
204 %! assert (size (v), [3 3]);
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
205 %!test
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
206 %! [f, v, c] = isosurface (x, y, z, val, .3, y);
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
207 %! assert (size (f), [1 3]);
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
208 %! assert (size (v), [3 3]);
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
209 %! assert (size (c), [3 1]);
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
210
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
211 %!demo
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
212 %! clf
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
213 %! [x,y,z] = meshgrid(-2:0.5:2, -2:0.5:2, -2:0.5:2);
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
214 %! v = x.^2 + y.^2 + z.^2;
22ae6b3411a7 Add isocolor, isonormals and isosurface functions (For Martin Helm). Add 3D filled triangular patches and the trisurf function
David Bateman <dbateman@free.fr>
parents:
diff changeset
215 %! isosurface (x, y, z, v, 1)